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Finding the Fourth Proportional to 689.52, 950.76 and 502.68

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Solution

The fourth proportional to 689.52, 950.76 and 502.68 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 950.76 = 502.68 : x
  2. Step 2: Convert to fraction form
    689.52/950.76 = 502.68/x
  3. Step 3: Cross multiply
    689.52x = 950.76 × 502.68
  4. Step 4: Simplify right side
    689.52x = 477,928.04
  5. Step 5: Solve for x
    x = 477,928.04/689.52
  6. Step 6: Final answer
    x = 693.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.